Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	45×	body	1280	valid
10.0ms	37×	body	640	valid
9.0ms	158×	body	80	valid
2.0ms	11×	body	320	valid
1.0ms	5×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.0b	(+ x (sin y))
0.2b	(* z (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(+ x (sin y))
4.0ms	(* z (cos y))

series103.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (+ x (sin y)) (* z (cos y)))
25.0ms	(+ x (sin y))
35.0ms	(* z (cos y))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune116.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	9	53

Merged error: 0.0b

Counts

53 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series463.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
107.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune210.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

4.0ms	(pow (pow (cos y) 2) 1/3)
9.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series349.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(pow (pow (cos y) 2) 1/3)
35.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
101.0ms	(cbrt (cos y))

simplify61.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	312	474
1	1319	403
2	5001	386

prune215.0ms

Filtered

91 candidates to 53 candidates (58.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
0.2b	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
16×	`prod-exp`
15×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `associate-r` `cbrt-unprod` `sqr-pow`
5×	`pow-to-exp`
4×	`unpow2` `add-log-exp`
3×	`pow-unpow`
2×	`unpow1/3` `pow1/3` `pow-prod-down` `*-commutative`
1×	`pow-pow`

Counts

4 → 97

Calls

4 calls:

9.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
8.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series160.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
5.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	326	733
1	1274	653
2	5001	596

prune240.0ms

Filtered

109 candidates to 67 candidates (61.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

regimes159.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

479.0ms	1059×	body	1280	valid
304.0ms	5549×	body	80	valid
220.0ms	810×	body	640	valid
70.0ms	375×	body	320	valid
32.0ms	207×	body	160	valid